{ "id": "2410.07068", "version": "v1", "published": "2024-10-09T17:14:13.000Z", "updated": "2024-10-09T17:14:13.000Z", "title": "A short proof of diffusivity for the directed polymers in the weak disorder phase", "authors": [ "Hubert Lacoin" ], "comment": "4 pages", "categories": [ "math.PR" ], "abstract": "We provide a new short and elementary proof of diffusivity for directed polymer in a random environment in the weak disorder phase.", "revisions": [ { "version": "v1", "updated": "2024-10-09T17:14:13.000Z" } ], "analyses": { "keywords": [ "weak disorder phase", "directed polymer", "short proof", "diffusivity" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }